Home
Class 12
MATHS
Find all the possible values of b >0, so...

Find all the possible values of `b >0,` so that the area of the bounded region enclosed between the parabolas `y=x-b x^2a n dy=(x^2)/b` is maximum.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|3 Videos

  • APPLICATIONS OF DERIVATIVES

    CENGAGE ENGLISH|Exercise Comprehension Type|5 Videos

Similar Questions

Explore conceptually related problems

Find the area enclosed by the parabolas y=5x^2a n d\ y=2x^2+9.

Find the area of the region included between the parabola y^2=x and the line x+y=2 .

Find the area of the region included between the parabola y^2=x and the line x+y=2 .

Find the area included between the parabolas y^2=4a x\ a n d\ x^2=4b ydot

Find the area of the region enclosed by the parabola x^(2)=y and the line y = x+ 2.

Find the area enclosed between the parabola y^2=4a x and the line y = m x .

Find the area of the region bounded by the two parabolas y=x^2 and y^2=x .

Find the area of the region bounded by: the parabola y=x^2 and the line y = x

Find the area of the region bounded by: the parabola y=x^2 and the line y = x

Find the area of the region bounded by the parabola y^(2)=2px and x^(2)=2py .

CENGAGE ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. The area enclosed between the curves y=(log)e(x+e),x=(log)e(1/y), and ...

    Text Solution

    |

  2. If An be the area bounded by the curve y=(tanx)^n and the lines x=0,\ ...

    Text Solution

    |

  3. Find all the possible values of b >0, so that the area of the bounded ...

    Text Solution

    |

  4. In the hexaploid wheat, the haploid (n) and basic (x) numbers of ch...

    Text Solution

    |

  5. Let O(0,0),A(2,0),a n dB(1 1/(sqrt(3))) be the vertices of a triangle....

    Text Solution

    |

  6. A copper rod of mass m rests on two horizontal rails distance L apart ...

    Text Solution

    |

  7. The area bounded by the x-axis, the curve y=f(x), and the lines x=1,x=...

    Text Solution

    |

  8. A particle moves along x-axis such that its position veries with time ...

    Text Solution

    |

  9. Masses M(1), M(2) and M(3) are connected by strings of negligible mass...

    Text Solution

    |

  10. The area bounded by the two branches of curve (y-x)^2=x^3 and the stra...

    Text Solution

    |

  11. The area bounded by the curves y=loge x and y=(loge x)^2 is (A) ...

    Text Solution

    |

  12. The area of the region containing the points (x , y) satisfying 4lt=x^...

    Text Solution

    |

  13. Let f(x)=x^3+3x+2a n dg(x) be the inverse of it. Then the area bound...

    Text Solution

    |

  14. Consider two curves C1: y^2=4[sqrt(y)]x a n dC2: x^2=4[sqrt(x)]y , whe...

    Text Solution

    |

  15. The area enclosed between the curve y^2(2a-x)=x^3 and the line x=2a ab...

    Text Solution

    |

  16. The area of the region of the plane bounded by max(|x|,|y|)lt=1 and x ...

    Text Solution

    |

  17. The area of the figure bounded by the parabola (y-2)^(2)=x-1, the tang...

    Text Solution

    |

  18. The area of the loop of the curve a y^2=x^2(a-x) is

    Text Solution

    |

  19. The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x and ygeq1nx ...

    Text Solution

    |

  20. If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi]a n df(x)...

    Text Solution

    |